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» Home » Geometry »

Surface Area of Cylinders

(1) Right Circular Cylinder:

  1. Curved surface area = perimeter x height of cylinder i.e.
  2. Area of each of the flat surface, i.e., of ends i.e.
  3. Total surface area

Example:
            Find the height of the solid circular cylinder if total surface area is 600 sq.cm and radius is 5cm.
Solution:
            Here     cm
            Total surface area
            Or       
            Or       
            Or       
                    cm


Example:
            A cylinder vessel, without lid, has to be in coated on both its sides. If the radius of its base is m and its height is 1.4m, calculate the cost of tin coating at the rate of $2.25per 1000 sq.cm.
Solution:
            Given that
            Radius of the base of cylindrical vessel,
            Height,  
             Area to be tin coated
                                                  
                                                  
                                                  
                                                   sq.cm
            Now, cost of tin coating per 1000sq.cm = $ 2.25
             Total cost of tin coating


(2) Hollow Circular Cylinder:

  1. Curved surface area
  2. Total surface area

(3) Elliptic Cylinder:
            The cylinder with a base which is an ellipse is called an elliptic cylinder. If a and b are the semi-major axis and semi-minor axis and his the height, then

  1. Volume
  2. Curved surface area
  3. Total surface area



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